Question

Periodic waves spread out over the surface of a lake where two women, Jenny and Melissa, are fishing in separate boats 46 meters apart. Each woman's boat bobs up and down 26/min. At a time when Jenny's boat is at a crest, Melissa's boat is at its lowest point, and there are 4 additional crests between them. Calculate the wavelength of these water waves.

Answer 1

The wavelength of the water is
`\lambda = 10.22 m`

Step-by-step explanation:

From the question awe are told that

The distance between the two boats are 46 m

Now we are told that a the time the Jenny's boat is at a crest,Melissa's boat is at its lowest point, and there are 4 additional crests between them which can be mathematically represented as

Number of wavelength = 4 + 0.5(this accounts for the difference in position crest and lowest point)

= 4.5

Now the wavelength of the water is
`\lambda = (Distance )/(Number \ of \ division )`

`= (46)/(4.5) =10.22m`